SQL functions allow users to perform operations on data in SQL queries. There are several types of SQL functions including scalar functions, aggregate functions, mathematical functions, text functions, and date functions. Scalar functions operate on individual values and return a single value, while aggregate functions operate on sets of data and return a single value. Common mathematical functions include POWER(), ROUND(), and MOD(). Text functions perform operations on string values like UPPER(), LOWER(), SUBSTRING(), and LENGTH(). Date functions help operate on date values, such as NOW(), DATE(), MONTH(), and YEAR(). Aggregate functions operate on sets of values and include COUNT(), SUM(), MIN(), MAX(), and AVG().